10345319077761 has 8 divisors (see below), whose sum is σ = 15326398633760. Its totient is φ = 6896879385156.

The previous prime is 10345319077727. The next prime is 10345319077829. The reversal of 10345319077761 is 16777091354301.

It is a happy number.

10345319077761 is a `hidden beast` number, since 1 + 0 + 34 + 531 + 9 + 0 + 7 + 7 + 76 + 1 = 666.

It is not a de Polignac number, because 10345319077761 - 2³⁷ = 10207880124289 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10345319077698 and 10345319077707.

It is not an unprimeable number, because it can be changed into a prime (10345319075761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 191579982895 + ... + 191579982948.

It is an arithmetic number, because the mean of its divisors is an integer number (1915799829220).

Almost surely, 2^{10345319077761} is an apocalyptic number.

It is an amenable number.

10345319077761 is a deficient number, since it is larger than the sum of its proper divisors (4981079555999).

10345319077761 is an equidigital number, since it uses as much as digits as its factorization.

10345319077761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383159965852 (or 383159965846 counting only the distinct ones).

The product of its (nonzero) digits is 3333960, while the sum is 54.

The spelling of 10345319077761 in words is "ten trillion, three hundred forty-five billion, three hundred nineteen million, seventy-seven thousand, seven hundred sixty-one".